Let A be an mx n matrix and B be an n xp matrix. (a) Prove...

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Let A be an mx n matrix and B be an n xp matrix. (a) Prove that rank(AB) S rank(A). (b) Prove that rank(AB) < rank(B).

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Ex. let A be an man nap matrix and B is an we AB be an map matrix, know that, rank CAB) I ming rank (A), rank (B) } Case () r by using property of rank i was solved this problem

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Let ne Nj. Prove that n < 2(6(n)).

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Add Answer to: Let A be an mx n matrix and B be an n xp matrix. (a) Prove...

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Let A be an mx n matrix and B be an n xp matrix. (a) Prove...